{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2024:VBTCPEF2BVJZXY2AN7OVFOMDHO","short_pith_number":"pith:VBTCPEF2","schema_version":"1.0","canonical_sha256":"a8662790ba0d539be3406fdd52b9833bbd9882e8dd3c708383335760f8ae54de","source":{"kind":"arxiv","id":"2501.00508","version":1},"attestation_state":"computed","paper":{"title":"Active Learning of General Halfspaces: Label Queries vs Membership Queries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Daniel M. Kane, Ilias Diakonikolas, Mingchen Ma","submitted_at":"2024-12-31T15:40:48Z","abstract_excerpt":"We study the problem of learning general (i.e., not necessarily homogeneous) halfspaces under the Gaussian distribution on $R^d$ in the presence of some form of query access. In the classical pool-based active learning model, where the algorithm is allowed to make adaptive label queries to previously sampled points, we establish a strong information-theoretic lower bound ruling out non-trivial improvements over the passive setting. Specifically, we show that any active learner requires label complexity of $\\tilde{\\Omega}(d/(\\log(m)\\epsilon))$, where $m$ is the number of unlabeled examples. Spe"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"2501.00508","kind":"arxiv","version":1},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cs.LG","submitted_at":"2024-12-31T15:40:48Z","cross_cats_sorted":[],"title_canon_sha256":"6b2bbfbd156296f84461a777a8302dd1993de278d310a13d827b1a51b2014ffd","abstract_canon_sha256":"0abc8d3d7e01ab688393bb6a31f73071bc89581cbb47b746a0ce41f5052cc983"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-07-05T09:56:06.865934Z","signature_b64":"wk+x/2wrNPV/g0n2GSWn385ZRvCXGf3w9GKz4MzvIQTlOT10uWsXQcKWI1yVteq/DWOzwFTzuLTq/89jh54mCQ==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"a8662790ba0d539be3406fdd52b9833bbd9882e8dd3c708383335760f8ae54de","last_reissued_at":"2026-07-05T09:56:06.865433Z","signature_status":"signed_v1","first_computed_at":"2026-07-05T09:56:06.865433Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Active Learning of General Halfspaces: Label Queries vs Membership Queries","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cs.LG","authors_text":"Daniel M. Kane, Ilias Diakonikolas, Mingchen Ma","submitted_at":"2024-12-31T15:40:48Z","abstract_excerpt":"We study the problem of learning general (i.e., not necessarily homogeneous) halfspaces under the Gaussian distribution on $R^d$ in the presence of some form of query access. In the classical pool-based active learning model, where the algorithm is allowed to make adaptive label queries to previously sampled points, we establish a strong information-theoretic lower bound ruling out non-trivial improvements over the passive setting. Specifically, we show that any active learner requires label complexity of $\\tilde{\\Omega}(d/(\\log(m)\\epsilon))$, where $m$ is the number of unlabeled examples. Spe"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"2501.00508","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"integrity":{"clean":true,"summary":{"advisory":0,"critical":0,"by_detector":{},"informational":0},"endpoint":"/pith/2501.00508/integrity.json","findings":[],"available":true,"detectors_run":[],"snapshot_sha256":"c28c3603d3b5d939e8dc4c7e95fa8dfce3d595e45f758748cecf8e644a296938"},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"2501.00508","created_at":"2026-07-05T09:56:06.865492+00:00"},{"alias_kind":"arxiv_version","alias_value":"2501.00508v1","created_at":"2026-07-05T09:56:06.865492+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.2501.00508","created_at":"2026-07-05T09:56:06.865492+00:00"},{"alias_kind":"pith_short_12","alias_value":"VBTCPEF2BVJZ","created_at":"2026-07-05T09:56:06.865492+00:00"},{"alias_kind":"pith_short_16","alias_value":"VBTCPEF2BVJZXY2A","created_at":"2026-07-05T09:56:06.865492+00:00"},{"alias_kind":"pith_short_8","alias_value":"VBTCPEF2","created_at":"2026-07-05T09:56:06.865492+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/VBTCPEF2BVJZXY2AN7OVFOMDHO","json":"https://pith.science/pith/VBTCPEF2BVJZXY2AN7OVFOMDHO.json","graph_json":"https://pith.science/api/pith-number/VBTCPEF2BVJZXY2AN7OVFOMDHO/graph.json","events_json":"https://pith.science/api/pith-number/VBTCPEF2BVJZXY2AN7OVFOMDHO/events.json","paper":"https://pith.science/paper/VBTCPEF2"},"agent_actions":{"view_html":"https://pith.science/pith/VBTCPEF2BVJZXY2AN7OVFOMDHO","download_json":"https://pith.science/pith/VBTCPEF2BVJZXY2AN7OVFOMDHO.json","view_paper":"https://pith.science/paper/VBTCPEF2","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=2501.00508&json=true","fetch_graph":"https://pith.science/api/pith-number/VBTCPEF2BVJZXY2AN7OVFOMDHO/graph.json","fetch_events":"https://pith.science/api/pith-number/VBTCPEF2BVJZXY2AN7OVFOMDHO/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/VBTCPEF2BVJZXY2AN7OVFOMDHO/action/timestamp_anchor","attest_storage":"https://pith.science/pith/VBTCPEF2BVJZXY2AN7OVFOMDHO/action/storage_attestation","attest_author":"https://pith.science/pith/VBTCPEF2BVJZXY2AN7OVFOMDHO/action/author_attestation","sign_citation":"https://pith.science/pith/VBTCPEF2BVJZXY2AN7OVFOMDHO/action/citation_signature","submit_replication":"https://pith.science/pith/VBTCPEF2BVJZXY2AN7OVFOMDHO/action/replication_record"}},"created_at":"2026-07-05T09:56:06.865492+00:00","updated_at":"2026-07-05T09:56:06.865492+00:00"}